Acceleration of System given Mass of Body B Calculator

✖Tension of String is the force exerted by a string on an object, causing it to accelerate or decelerate in a connected system of bodies.ⓘ Tension of String [T]			+10% -10%
✖Mass of Body B is the quantity of matter in an object connected to another body through a string or cord.ⓘ Mass of Body B [m_b]			+10% -10%
✖Inclination of Plane 2 is the angle between the plane of motion of the second body and the horizontal plane in a connected system.ⓘ Inclination of Plane 2 [α₂]			+10% -10%
✖Coefficient of Friction is the ratio of the frictional force resisting motion between two surfaces to the normal force pressing them together.ⓘ Coefficient of Friction [μ_cm]			+10% -10%

✖Acceleration of Body in Motion is the rate of change of velocity of an object moving in a circular path connected by strings.ⓘ Acceleration of System given Mass of Body B [a_mb]

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Acceleration of System given Mass of Body B Solution

STEP 0: Pre-Calculation Summary

Formula Used

Acceleration of Body in Motion = (Tension of String-Mass of Body B*[g]*sin(Inclination of Plane 2)-Coefficient of Friction*Mass of Body B*[g]*cos(Inclination of Plane 2))/Mass of Body B
a_mb = (T-m_b*[g]*sin(α₂)-μ_cm*m_b*[g]*cos(α₂))/m_b
This formula uses 1 Constants, 2 Functions, 5 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Acceleration of Body in Motion - (Measured in Meter per Square Second) - Acceleration of Body in Motion is the rate of change of velocity of an object moving in a circular path connected by strings.
Tension of String - (Measured in Newton) - Tension of String is the force exerted by a string on an object, causing it to accelerate or decelerate in a connected system of bodies.
Mass of Body B - (Measured in Kilogram) - Mass of Body B is the quantity of matter in an object connected to another body through a string or cord.
Inclination of Plane 2 - (Measured in Radian) - Inclination of Plane 2 is the angle between the plane of motion of the second body and the horizontal plane in a connected system.
Coefficient of Friction - Coefficient of Friction is the ratio of the frictional force resisting motion between two surfaces to the normal force pressing them together.

STEP 1: Convert Input(s) to Base Unit

Tension of String: 14.56 Newton --> 14.56 Newton No Conversion Required
Mass of Body B: 1.11 Kilogram --> 1.11 Kilogram No Conversion Required
Inclination of Plane 2: 55 Degree --> 0.959931088596701 Radian (Check conversion here)
Coefficient of Friction: 0.2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a_mb = (T-m_b*[g]*sin(α₂)-μ_cm*m_b*[g]*cos(α₂))/m_b --> (14.56-1.11*[g]*sin(0.959931088596701)-0.2*1.11*[g]*cos(0.959931088596701))/1.11

Evaluating ... ...

a_mb = 3.9590070500828

STEP 3: Convert Result to Output's Unit

3.9590070500828 Meter per Square Second --> No Conversion Required

FINAL ANSWER

3.9590070500828 ≈ 3.959007 Meter per Square Second <-- Acceleration of Body in Motion

(Calculation completed in 00.032 seconds)

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Home » Physics » Mechanics » Types of Motion » Motion in Bodies Connected by Strings » Mechanical » Body Lying on Rough Inclined Plane » Acceleration of System given Mass of Body B

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Created by Vinay Mishra

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

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PSG College of Technology (PSGCT), Coimbatore

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< Body Lying on Rough Inclined Plane Calculators

Acceleration of System given Mass of Body A

LaTeX Go Acceleration of Body in Motion = (Mass of Body A*[g]*sin(Inclination of Plane 1)-Coefficient of Friction*Mass of Body A*[g]*cos(Inclination of Plane 1)-Tension of String)/Mass of Body A

Acceleration of System given Mass of Body B

LaTeX Go Acceleration of Body in Motion = (Tension of String-Mass of Body B*[g]*sin(Inclination of Plane 2)-Coefficient of Friction*Mass of Body B*[g]*cos(Inclination of Plane 2))/Mass of Body B

Tension in String given Mass of Body A

LaTeX Go Tension of String in Body A = Mass of Body A*([g]*sin(Inclination of Plane 1)-Coefficient of Friction*[g]*cos(Inclination of Plane 1)-Minimum Acceleration of Body in Motion)

Tension in String given Mass of Body B

LaTeX Go Tension of String in Body B = Mass of Body B*([g]*sin(Inclination of Plane 2)+Coefficient of Friction*[g]*cos(Inclination of Plane 2)+Acceleration of Body in Motion)

Acceleration of System given Mass of Body B Formula

LaTeX Go

What are some examples of Sliding Friction?

Rubbing both the hands together to create heat, a child sliding down through a slide in a park, a washing machine pushed along with the floor are some of the examples.

How to Calculate Acceleration of System given Mass of Body B?

Acceleration of System given Mass of Body B calculator uses Acceleration of Body in Motion = (Tension of String-Mass of Body B*[g]*sin(Inclination of Plane 2)-Coefficient of Friction*Mass of Body B*[g]*cos(Inclination of Plane 2))/Mass of Body B to calculate the Acceleration of Body in Motion, Acceleration of System given Mass of Body B formula is defined as the measure of the rate of change of velocity of an object in a system, influenced by the mass of body B, gravitational force, and frictional forces, providing a comprehensive understanding of the object's motion in the system. Acceleration of Body in Motion is denoted by a_mb symbol.

How to calculate Acceleration of System given Mass of Body B using this online calculator? To use this online calculator for Acceleration of System given Mass of Body B, enter Tension of String (T), Mass of Body B (m_b), Inclination of Plane 2 (α₂) & Coefficient of Friction (μ_cm) and hit the calculate button. Here is how the Acceleration of System given Mass of Body B calculation can be explained with given input values -> 3.959007 = (14.56-1.11*[g]*sin(0.959931088596701)-0.2*1.11*[g]*cos(0.959931088596701))/1.11.

FAQ

What is Acceleration of System given Mass of Body B?

Acceleration of System given Mass of Body B formula is defined as the measure of the rate of change of velocity of an object in a system, influenced by the mass of body B, gravitational force, and frictional forces, providing a comprehensive understanding of the object's motion in the system and is represented as a_mb = (T-m_b*[g]*sin(α₂)-μ_cm*m_b*[g]*cos(α₂))/m_b or Acceleration of Body in Motion = (Tension of String-Mass of Body B*[g]*sin(Inclination of Plane 2)-Coefficient of Friction*Mass of Body B*[g]*cos(Inclination of Plane 2))/Mass of Body B. Tension of String is the force exerted by a string on an object, causing it to accelerate or decelerate in a connected system of bodies, Mass of Body B is the quantity of matter in an object connected to another body through a string or cord, Inclination of Plane 2 is the angle between the plane of motion of the second body and the horizontal plane in a connected system & Coefficient of Friction is the ratio of the frictional force resisting motion between two surfaces to the normal force pressing them together.

How to calculate Acceleration of System given Mass of Body B?

Acceleration of System given Mass of Body B formula is defined as the measure of the rate of change of velocity of an object in a system, influenced by the mass of body B, gravitational force, and frictional forces, providing a comprehensive understanding of the object's motion in the system is calculated using Acceleration of Body in Motion = (Tension of String-Mass of Body B*[g]*sin(Inclination of Plane 2)-Coefficient of Friction*Mass of Body B*[g]*cos(Inclination of Plane 2))/Mass of Body B. To calculate Acceleration of System given Mass of Body B, you need Tension of String (T), Mass of Body B (m_b), Inclination of Plane 2 (α₂) & Coefficient of Friction (μ_cm). With our tool, you need to enter the respective value for Tension of String, Mass of Body B, Inclination of Plane 2 & Coefficient of Friction and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Acceleration of Body in Motion?

In this formula, Acceleration of Body in Motion uses Tension of String, Mass of Body B, Inclination of Plane 2 & Coefficient of Friction. We can use 1 other way(s) to calculate the same, which is/are as follows -

Acceleration of Body in Motion = (Mass of Body A*[g]*sin(Inclination of Plane 1)-Coefficient of Friction*Mass of Body A*[g]*cos(Inclination of Plane 1)-Tension of String)/Mass of Body A

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